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Finding the Fourth Proportional to 874.80, 1,206.88 and 764.28

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Solution

The fourth proportional to 874.80, 1,206.88 and 764.28 is: 1,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,206.88 = 764.28 : x
  2. Step 2: Convert to fraction form
    874.80/1,206.88 = 764.28/x
  3. Step 3: Cross multiply
    874.80x = 1,206.88 × 764.28
  4. Step 4: Simplify right side
    874.80x = 922,394.25
  5. Step 5: Solve for x
    x = 922,394.25/874.80
  6. Step 6: Final answer
    x = 1,054.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.